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labwork [276]
4 years ago
14

Find the maximum value of y = -2(x - 4)2 - 6.

Mathematics
1 answer:
aleksley [76]4 years ago
6 0

y = -2(x-4)2-6

= -4(x-4) - 6

= -4x + 16 -6

y = 10- 4x

now if x is positive, x >= 0

then max value of y will be when x will nr minimum

so max y = 10- 4×0 = 10

so y = 10 at x =0 for x >=0

if x < 0 then

y will be increasing as x gets increase towards more negative. so max of y will be decided when x reaches to max negative.

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3 years ago
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ELEN [110]

Answer:

30inches

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4 years ago
Imagine a situation where a person is using a garden hose to fill the child’s pool. Think of two quantities that are related in
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Volume of the child's pool.

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Step-by-step explanation:

To form a function in the given situation, the two quantities related can be time and the amount to be filled , i.e the time taken by a hose pipe to fill the given volume of the child's pool. Time in the formed function can be represented to be directly proportional to the volume and the speed of the water through hose pipe can tell how long it it takes, i.e how much time will it take to fill the given volume of pool.

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4 years ago
Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their
dexar [7]

Answer:

2h-2=92 and h-2=92-h.

Step-by-step explanation:

Hannah, h, is the older sibling and their ages are consecutive odd integers. This means that Anthony's age will be 2 less than Hannah's, or h-2.

The sum of these would be h+(h-2), giving us the equation h+(h-2)=92.

 

Combining like terms we would have the first correct choice, 2h-2=92.

Our first equation can be transformed, however, to have (h-2) by itself. To do this, we would subtract h from both sides, giving us h-2=92-h.

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3 years ago
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